Images of transformation are congruent if they were translated, mirrored/flipped or rotated
1)
(x, y) → (–x, –y) mirrored
(x, y) → (0.8x, 0.8y) scale->not congruent
(x, y) → (x, y + 5)
2)
(x, y) → (x, –y) mirrored
(x, y) → (–x, y) mirrored
(x, y) → (x + 1, y – 1) translation
-> is congruent
3)
(x, y) → (x + 5, y + 5) translation
(x, y) → (x, –y) mirror
(x, y) → (2x, y) scale-> not congruent
4)
(x, y) → (3x, 3y) scale->not congruent
(x, y) → (–x, y)
(x, y) → (x – 4, y)
so the second series of transformations is the only one with a congruent after image
Answer:
speed acquired by me = 40 miles / hour
speed acquired by my friend = 50 miles / hour
Step-by-step explanation:
Here's the solution :-
time taken by both = 6 hours
( 10 AM - 4 PM )
1. Now, the required speed for me to reach boston at 4 PM is :
=》
=》
=》
2. Now, the required speed for my friend to reach boston at 4 PM is :
=》
=》
=》
<em>C) 52 m²</em>
- Step-by-step explanation:
<em>A = 2(lw + lh + wh)</em>
<em>l = 4m</em>
<em>w = 3m</em>
<em>h = 2m</em>
<em>A = 2(4m×3m + 4m×2m + 3m×2m)</em>
<em>= 2(12m² + 8m² + 6m²)</em>
<em>= 2×26m²</em>
<em>= 52m²</em>
The answer would be the square root of 25 times 9 im pretty sure its been while and it would be 25*9=225 square root of 225 is 15
Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
